1 . 已知
、
是函数
的图象上的任意两点,点
在直线
上,且
.
(1)求
的值及
的值;
(2)已知
,当
时,
,设
,
数列
的前
项和,若存在 正整数
,
,使得不等式
成立,求
和
的值;
(3)在(2)的条件下,设
,求所有可能的乘积
的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebcde3bc579cc3e31c9fe7c1ae3e032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e43f2bfcbef70a5a6e19ef792fa60f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c72bc49a2eafb73fb3297e1304923c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a21434554a6b14633fd06e3186e7c0e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6e75677951ef1388f76aee5a779149.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d33d9dd40d026e06bc3970d29db9bdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7875482ed1d2b2f82bd2d8f1df8bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5310457751b485a5312fb78fca8a6dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07404ab51f404f9411f79bd4f1fde654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e81078b69a93798f4451f6ef3f764a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)在(2)的条件下,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e5849ca5126de3399c78e9ef3ba753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bb9839c329dc48b68017050994478e.png)
您最近一年使用:0次
名校
解题方法
2 . 设
的三边长分别为
若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff63feffcfb5457be58e33643e8c37bc.png)
(1)比较
与
的大小;
(2)求数列
的通项公式;
(3)作
于
记
与
的面积之差的绝对值为
则在数列
中,是否存在某两项
使
依次成等差数列?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9b981aebc8c09de65e4bf84b8f0f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c7d4a9ccf5d954e7469f10829e0cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff63feffcfb5457be58e33643e8c37bc.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46fae204190f132c1d8eb7535cfe87c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa1a233995948a7b3cdd75c66444dac.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
(3)作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9a240582f9a17ff1274a71bdffcedc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17796fbd290adaaecda64e960ecd1309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c857b8cc422b0550ffc7c30a253a3b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7949c2adcabf91e95cb381220903ab96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b807aa7f208cd051f843b29cc3c1c334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8a4d244655d284fc0cf9f092aaf2e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0864165f2452eb6ca8715d70e696143f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd1c78c7abef0ee88a148049ef89888.png)
您最近一年使用:0次
2019-11-06更新
|
962次组卷
|
3卷引用:上海市金山中学2018-2019学年高三下学期3月月考数学试题
名校
解题方法
3 . 设数列
的前
项和为
,若对任意
,都有
,则称数列
具有性质P.
(1)若数列
是首项为1,公比为2的等比数列,试判断数列
是否具有性质P;
(2)若正项等差数列
具有性质P,求数列
的公差;
(3)已知正项数列
具有性质P,
,且对任意
,有
,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04c7ba0ffd54e60b2829f4440c91ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9a6d31c8b7444295c270220d5b58ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若正项等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)已知正项数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f8272074a7818dcf73bd6f42aa6c4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfebc42ef5e49ad812f2a783cc96c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
您最近一年使用:0次
19-20高三上·江苏南通·期末
4 . 已知等差数列
的前n项和为Sn,若
为等差数列,且
.
(1)求数列
的通项公式;
(2)是否存在正整数
, 使
成等比数列?若存在,请求出这个等比数列;若不存在,请说明理由;
(3)若数列
满足
,
,且对任意的
,都有
,求正整数k的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832d1e3a06f59a35396aac6e12c5e2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)是否存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5f30d2b6951b7a015c63ba77ddab2a.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618c247120a6d27aff6af4e21b24a759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692725f52ce40f0f17ff207ec72fb8de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ea3da8ca29e6a8ef08b5c380265189.png)
您最近一年使用:0次
2019-01-31更新
|
1438次组卷
|
3卷引用:【市级联考】江苏省如皋市2019届高三第一学期期末教学质量调研数学试题
名校
解题方法
5 . 已知数列
,其中
.
(1)若
满足
.
①当
,且
时,求
的值;
②若存在互不相等的正整数
,满足
,且
成等差数列,求
的值.
(2)设数列
的前
项和为
,数列
的前n项和为
,
,
,若
,
,且
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32037f9c276fd7be08fd7e6719f3737.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
②若存在互不相等的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aedb7b216cb72510968939850b24050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f6d423ac8d9936c1c7b193c28d1c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84db9790882c0cdc3276ade3f6f16588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912c6cdcb3fa703c8bdec96aa9a19f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45675b702a235e6f18709a2a0c0b8281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-01-23更新
|
1231次组卷
|
4卷引用:【市级联考】江苏省盐城市、南京市2019届高三年级第一次模拟考试数学试题
【市级联考】江苏省盐城市、南京市2019届高三年级第一次模拟考试数学试题2019届江苏省无锡市第一中学高三下学期2月期初考试数学试题2019届江苏省南京市、盐城市高三第一次模拟数学试题(已下线)专题6.1 数列的概念与简单表示法(练)-江苏版《2020年高考一轮复习讲练测》
名校
解题方法
6 . 已知常数
数列
的前
项和为
,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea73a8c287424d6281822f8a340106e6.png)
(1)求数列
的通项公式;
(2)若
且数列
是单调递增数列,求实数
的取值范围;
(3)若
数列
满足:
对于任意给定的正整数
,是否存在
使
?若存在,求
的值(只要写出一组即可);若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01592e40f9c9db0bf3cceb585a2b9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea73a8c287424d6281822f8a340106e6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6678c59e26c0bea46f44e1aeb3d15422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45051c4c45caa2bf4763206d5708bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8881be0063af5f5008a97ff17a4681da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5dde3668a8dcc447724aa738bdbdbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e62f7e42856aa40f3b1a1d8890762cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
您最近一年使用:0次
名校
解题方法
7 . 数列
的前
项和为
,
,
(1)证明数列
是等比数列,求出数列
的通项公式.
(2)设
,求数列
的前
项和
.
(3)数列
中是否存在三项,它们可以构成等比数列?若存在,求出一组符合条件的项;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f6306e139e216339b3fe836ad2279.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d17d72d1d20d385920c3d9da6bed8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf6d9b124ac354115d57dbe1e9d34be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
名校
解题方法
8 . 已知点
在函数
的图象上,数列
的前
项和为
,数列
的前
项和为
,且
是
与
的等差中项.
(1)求数列
的通项公式;
(2)设
,数列
满足
,
.求数列
的前
项和
;
(3)在(2)的条件下,设
是定义在正整数集上的函数,对于任意的正整数
,恒有
成立,且
,
为常数,
),试判断数列
是否为等差数列,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f65845003249a18c345251b6299172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8bbd32b61f51c189fa50005ea78dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37353da4aae7b7238a13ec050ea992fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6b1b0d0c6cc1b15fefad52052b8af5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136eeb246eff6409e0cc2ea4055ea1b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9744323db67a071fc1901ceae79c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8d7b28f5984b91abf284d56ffbf7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4e8502106802f1485c3b0f28f2664.png)
(3)在(2)的条件下,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b084be72be63541b309c6a6be2a35ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45aa38f18fd345c8e927733e950e2a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2af172cbe7ad97f0c60da3b66f79323.png)
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9 . 设
是首项为
,公差为d的等差数列,
是首项为
,公比为q的等比数列.
(1)设
,若
对
均成立,求d的取值范围;
(2)若
,证明:存在
,使得
对
均成立,并求
的取值范围(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74aef4b54e5d8f632c926960b2e4c7b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e68bee3f515ef798679ac95b1eb9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4967a0f83ec59ad5a74ce1c3653a2451.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7791ac8b85b10c06d7f14eb122565e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b33ff8346b233bd4721e7c1b67488e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e68bee3f515ef798679ac95b1eb9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ec3452165ffeaf9e66306b9737eea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e58095b1abf1531476571d1cb21330.png)
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2018-06-10更新
|
5749次组卷
|
19卷引用:2018年全国普通高等学校招生统一考试数学(江苏卷)
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名校
解题方法
10 . 已知数列
和
,
,
,(
且
),
,
.
(1)求
;
(2)猜想数列
的通项公式,并证明;
(3)设函数
,若
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d405b6fef136cce09295e70354d1009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fd057f224cf18f488523d52d9c239f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0689bfa15b7432bbaedaf3960ccdb8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5e07bf129b073f37b553fbca100172.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c932d437f90d874026f052d65a8402.png)
(2)猜想数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c3773e0d4c7af818385dd1ac484e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71565c6dc56aaf9d2bf5dbbb59e4a8ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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